We identify necessary and sufficient conditions under which a coarse data set can be coarsely rationalized by a linear order (or weak order). The conditions are easy to check, and efficient algorithms are provided. We apply our theory to investigate the observable restrictions of several...

We model a decision maker who anticipates her preference to change in the future, and optimistically evaluates each menu according to the best choice that could possibly be made by her future self. We characterize this menu preference by axioms weak order, independence, semi-continuity,...